标题： 无限维空间中的可积Chern-Simons多形式理论的Darboux-KP系统 显示英文标题

标题： The Darboux-KP system as an integrable Chern-Simons multiform theory in infinite dimensional space

摘要： 在作者之前的一篇论文中，为一个广义的达布系统建立了拉格朗日3-形式结构，该系统最初用于描述正交曲线坐标系，它编码了卡多姆采夫-佩特维亚什维利（KP）层次结构。 这里为同一系统建立了拉格朗日多重形式层次结构，将其视为米瓦变量无限维空间中的陈-西蒙斯作用量层次结构，构成了嵌入在此无限维空间中的通用三维可积系统的变分形式。 显示英文摘要

摘要： In a previous paper by one of the authors, a Lagrangian 3-form structure was established for a generalised Darboux system, originally describing orthogonal curvilinear coordinate systems, which encodes the Kadomtsev-Petviashvili (KP) hierarchy. Here a hierarchy of Lagrangian multiforms is established for the same system, viewed as a hierarchy of Chern-Simons actions in an infinite-dimensional space of Miwa variables, constituting the variational form of a universal 3D integrable system embedded in this infinite-dimensional space.